Skip fretting: Difference between revisions

Line 35:

=== Ease of reach vs. harmonic accuracy ===

The relationship is not linear, but as a loose rule, higher EDOs provide closer ~~approxiamtions~~ to the harmonic series. However, skip-frettings for higher EDOs provide fewer unisons and octaves. For instance, [[Skip fretting system 63 3 17]] is in general more faithful than 41-edo is to the harmonic series, but unisons lie 17 frets apart on a guitar with 21 frets per octave. That's equivalent to a stretch of 9.7 frets on a standard 12-edo guitar. By contrast, on the Kite guitar, which uses 41-edo, the distance between unisons is only 13 frets on a 20.5-fret guitar, equivalent to about 7.6 frets on a 12-edo guitar.

The relationship is not linear, but as a loose rule, higher EDOs provide closer approximations to the harmonic series. However, skip-frettings for higher EDOs provide fewer unisons and octaves. For instance, [[Skip fretting system 63 3 17]] is in general more faithful than 41-edo is to the harmonic series, but unisons lie 17 frets apart on a guitar with 21 frets per octave. That's equivalent to a stretch of 9.7 frets on a standard 12-edo guitar. By contrast, on the Kite guitar, which uses 41-edo, the distance between unisons is only 13 frets on a 20.5-fret guitar, equivalent to about 7.6 frets on a 12-edo guitar.

== Finding unisons and octaves in a skip-fretting system ==

Line 51:

* [[Skip fretting system 41 2 11]]: Same fret layout as the Kite guitar, with narrower string gaps and easier-to-reach higher-limit intervals.

* [[The Kite Guitar|The Kite Guitar, system 41 2 13]]: 41-edo on a 20.5-edo guitar.

* [[Skip fretting system 43 2 9]]: 43-edo on a 21.5-edo guitar.

* [[Skip fretting system 44 2 11]]: 44-edo on a 22-edo guitar.

* [[Skip fretting system 48 2 13]]: 48-edo on a 24-edo guitar.

@@ Line 35: / Line 35: @@
 === Ease of reach vs. harmonic accuracy ===
-The relationship is not linear, but as a loose rule, higher EDOs provide closer approxiamtions to the harmonic series. However, skip-frettings for higher EDOs provide fewer unisons and octaves. For instance, [[Skip fretting system 63 3 17]] is in general more faithful than 41-edo is to the harmonic series, but unisons lie 17 frets apart on a guitar with 21 frets per octave. That's equivalent to a stretch of 9.7 frets on a standard 12-edo guitar. By contrast, on the Kite guitar, which uses 41-edo, the distance between unisons is only 13 frets on a 20.5-fret guitar, equivalent to about 7.6 frets on a 12-edo guitar.
+The relationship is not linear, but as a loose rule, higher EDOs provide closer approximations to the harmonic series. However, skip-frettings for higher EDOs provide fewer unisons and octaves. For instance, [[Skip fretting system 63 3 17]] is in general more faithful than 41-edo is to the harmonic series, but unisons lie 17 frets apart on a guitar with 21 frets per octave. That's equivalent to a stretch of 9.7 frets on a standard 12-edo guitar. By contrast, on the Kite guitar, which uses 41-edo, the distance between unisons is only 13 frets on a 20.5-fret guitar, equivalent to about 7.6 frets on a 12-edo guitar.
 == Finding unisons and octaves in a skip-fretting system ==
@@ Line 51: / Line 51: @@
 * [[Skip fretting system 41 2 11]]: Same fret layout as the Kite guitar, with narrower string gaps and easier-to-reach higher-limit intervals.
 * [[The Kite Guitar|The Kite Guitar, system 41 2 13]]: 41-edo on a 20.5-edo guitar.
+* [[Skip fretting system 43 2 9]]: 43-edo on a 21.5-edo guitar.
 * [[Skip fretting system 44 2 11]]: 44-edo on a 22-edo guitar.
 * [[Skip fretting system 48 2 13]]: 48-edo on a 24-edo guitar.